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| United States Patent |
6,201,647
|
|
Ohzawa
|
March 13, 2001
|
Image display apparatus
Abstract
An image display apparatus has a display unit and an eyepiece optical
system. The display unit displays a two-dimensional image. The eyepiece
optical system projects the two-dimensional image into an observer's pupil
to enable the observer to view an enlarged virtual image of the
two-dimensional image. The optical axis of the eyepiece optical system is
decentered from the visual axis of the observer's pupil.
| Inventors:
|
Ohzawa; Soh (Toyonaka, JP)
|
| Assignee:
|
Minolta Co., Ltd. (Osaka, JP)
|
| Appl. No.:
|
342484 |
| Filed:
|
June 29, 1999 |
Foreign Application Priority Data
| Jul 06, 1998[JP] | 10-190456 |
| Jul 06, 1998[JP] | 10-190458 |
| Current U.S. Class: |
359/631; 359/630; 359/643; 359/649 |
| Intern'l Class: |
G02B 027/14; G02B 025/00; G02B 003/00 |
| Field of Search: |
359/618,630,631,632,634,643,649
|
References Cited
U.S. Patent Documents
| 5663833 | Sep., 1997 | Nanba et al. | 359/631.
|
| 5710668 | Jan., 1998 | Gohman et al. | 359/634.
|
| 5726807 | Mar., 1998 | Nakaoka et al. | 359/631.
|
| 5926321 | Jul., 1999 | Shikama | 359/644.
|
| 6008947 | Dec., 1999 | Togino | 359/630.
|
| Foreign Patent Documents |
| 405323229 | Dec., 1993 | JP | .
|
| 7-218860 | Aug., 1995 | JP.
| |
| 7-234376 | Sep., 1995 | JP.
| |
| 8-292371 | Nov., 1996 | JP.
| |
| 9-083908 | Mar., 1997 | JP.
| |
| 10-075407 | Mar., 1998 | JP.
| |
Primary Examiner: Epps; Georgia
Assistant Examiner: Seyrafi; Saeed
Attorney, Agent or Firm: Sidley & Austin
Claims
What is claimed is:
1. An image display apparatus comprising:
a display unit for displaying a two-dimensional image; and
an eyepiece optical system for projecting the two-dimensional image into an
observer's pupil to enable the observer to view an enlarged virtual image
of the two-dimensional image, the eyepiece optical system having two
planes of symmetry perpendicular to each other, and the eyepiece optical
system having an optical axis included in the two planes of symmetry and a
visual axis for the observer's pupil,
wherein the optical axis of the eyepiece optical system is decentered from
the visual axis for the observer's pupil.
2. An image display apparatus as claimed in claim 1,
wherein the display unit includes a reflection-type screen.
3. An image display apparatus as claimed in claim 1,
wherein the display unit displays the two-dimensional image on a curved
surface.
4. An image display apparatus as claimed in claim 2, further comprising:
a projecting optical system for projecting the two-dimensional image onto
the reflection-type screen,
wherein a portion of the eyepiece optical system is a portion of the
projecting optical system and functions as a shared optical system.
5. An image display apparatus as claimed in claim 4,
wherein the shared optical system includes at least one optical surface
formed as a rotationally-asymmetrical surface, and
wherein the rotationally-asymmetrical surface is symmetrical with respect
to a first plane of symmetry, the first plane of symmetry including an
optical axis of the shared optical system and the visual axis for the
observer's pupil, and with respect to a second plane of symmetry, the
second plane of symmetry being perpendicular to the first plane of
symmetry along the optical axis of the shared optical system.
6. An image display apparatus as claimed in claim 1,
wherein the display unit includes a reflection type two-dimensional display
device.
7. An image display apparatus as claimed in claim 6, further comprising:
an illumination optical system for illuminating the reflection-type
two-dimensional display device,
wherein a portion of the eyepiece optical system is a portion of the
illumination optical system and functions as a shared optical system.
8. An image display apparatus as claimed in claim 7,
wherein the shared optical system includes at least one optical surface
formed as a rotationally-asymmetrical surface, and wherein the
rotationally-asymmetrical surface is symmetrical with respect to a first
plane of symmetry, the first plane of symmetry including an optical axis
of the shared optical system and the visual axis for the observer's pupil,
and with respect to a second plane of symmetry, the second plane of
symmetry being perpendicular to the first plane of symmetry along the
optical axis of the shared optical system.
9. An image display apparatus comprising:
a display unit for displaying a two-dimensional image, the display unit
including a reflection-type screen; and
an eyepiece optical system for projecting the two-dimensional image into an
observer's pupil to enable the observer to view an enlarged virtual image
of the two-dimensional image;
wherein the eyepiece optical system includes at least one reflecting
surface, an optical axis, and a visual axis for the observer's pupil,
wherein the optical axis of the eyepiece optical system is decentered from
and substantially parallel to the the visual axis for the observer's
pupil.
10. An image display apparatus as claimed in claim 9,
wherein the display unit displays the two-dimensional image on a curved
surface.
11. An image display apparatus as claimed in claim 9, further comprising:
a projecting optical system for projecting an image onto the
reflection-type screen,
wherein a portion of the eyepiece optical system is a portion of the
projecting optical system and functions as a shared optical system.
12. An image display apparatus as claimed in claim 9,
wherein the reflecting surface functions on a principle of back-surface
reflection.
13. An image display apparatus as claimed in claim 11,
wherein the shared optical system includes at least one optical surface
formed as a rotationally-asymmetrical surface, and
wherein the rotationally-asymmetrical surface is symmetrical with respect
to a first plane of symmetry, the first plane of symmetry including an
optical axis of the shared optical system and the visual axis for the
observer's pupil, and with respect to a second plane of symmetry, the
second plane of symmetry being perpendicular to the first plane of
symmetry along the optical axis of the shared optical system.
14. An image display apparatus comprising:
a display unit for displaying a two-dimensional image, the display unit
including a reflection-type two-dimensional display device; and
an eyepiece optical system for projecting the two-dimensional image into an
observer's pupil to enable the observer to view an enlarged virtual image
of the two-dimensional image,
wherein the eyepiece optical system includes at least one reflecting
surface, an optical axis, and a visual axis for the observer's pupil,
wherein the optical axis of the eyepiece optical system is decentered from
and substantially parallel to the visual axis for the observer's pupil.
15. An image display apparatus as claimed in claim 14, further comprising:
an illumination optical system for illuminating the reflection-type
two-dimensional display device,
wherein a portion of the eyepiece optical system is a portion of the
illumination optical system and functions as a shared optical system.
16. An image display apparatus as claimed in claim 15,
wherein the shared optical system includes at least one optical surface
formed as a rotationally-asymmetrical surface, and wherein the
rotationally-asymmetrical surface is symmetrical with respect to a first
plane of symmetry, the first plane of symmetry including an optical axis
of the shared optical system and the visual axis for the observer's pupil,
and with respect to a second plane of symmetry, the second plane of
symmetry being perpendicular to the first plane of symmetry along the
optical axis of the shared optical system.
17. An image display apparatus comprising:
a display unit for displaying a two-dimensional image;
an eyepiece optical system for projecting the two-dimensional image into an
observer's pupil to enable the observer to view an enlarged virtual image
of the two-dimensional image, and
a projecting optical system for creating an image on the display unit,
wherein a portion of the eyepiece optical system is a portion of the
projecting optical system and functions as a shared optical system,
wherein the eyepiece optical system has an optical axis and a visual axis
for the observer's pupil,
wherein the optical axis of the eyepiece optical system is decentered from
the visual axis for the observer's pupil, and
wherein the shared optical system includes at least one optical surface
formed as a rotationally-asymmetrical surface, and wherein the
rotationally-asymmetrical surface is symmetrical with respect to a first
plane of symmetry, the first plane of symmetry including an optical axis
of the shared optical system and the visual axis for the observer's pupil,
and with respect to a second plane of symmetry, the second plane of
symmetry being perpendicular to the first plane of symmetry along the
optical axis of the shared optical system.
18. An image display apparatus as claimed in claim 17, wherein the display
unit includes a reflection-type screen, the projecting optical system
being for projecting the image onto the reflection-type screen.
19. An image display apparatus as claimed in claim 17, wherein the display
unit includes a reflection-type two-dimensional display device, the
projecting optical system being for illuminating the reflection-type
two-dimensional display device.
20. An image display apparatus as claimed in claim 17,
wherein the display unit displays the two-dimensional image on a curved
surface.
Description
This application is based on applications Nos. H10-190456 and H10-190458
filed in Japan, the contents of which are hereby incorporated by
reference.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an image display apparatus, and
particularly, to an image display apparatus such as an HMD (head mounted
display) for projecting a two-dimensional image displayed on a liquid
crystal display into an observer's pupil through an eyepiece optical
system to enable the observer to view an enlarged virtual image of the
two-dimensional image.
2. Description of the Prior Art
Conventionally, various types of image display apparatuses have been
proposed that project a two-dimensional image displayed on a display unit
through an eyepiece optical system to display an enlarged virtual image of
the original image. For example, image display apparatuses are known that
employ a transmission-type liquid crystal display or a transmission-type
screen as a display unit.
In an image display apparatus of the type that employs a transmission-type
liquid crystal display, it is so difficult to achieve satisfactorily high
density in the transmission-type liquid crystal that it is impossible to
achieve a satisfactorily wide angle of view and satisfactorily
high-resolution image display. Moreover, an image display apparatus of
this type requires a space for accommodating an illumination optical
system for illuminating the liquid crystal, and thus it is difficult to
make it satisfactorily compact. In contrast, in an image display apparatus
of the type that employs a transmission-type screen, it is possible to
project a high-resolution image onto the transmission-type screen and thus
achieve a satisfactorily wide angle of view and satisfactorily
high-resolution image display. However, this image display apparatus,
requiring a light source, a projecting optical system, a transmission-type
screen, and an eyepiece optical system to be arranged therein, tends to
have an unduly long total length, and thus it is even more difficult to
make it compact.
SUMMARY OF THE INVENTION
An object of the present invention is to provide a compact image display
apparatus.
To achieve the above object, according to one aspect of the present
invention, an image display apparatus is provided with a display unit and
an eyepiece optical system. The display unit displays a two-dimensional
image. The eyepiece optical system projects the two-dimensional image into
an observer's pupil to enable the observer to view an enlarged virtual
image of the two-dimensional image. In this image display apparatus, the
optical axis of the eyepiece optical system is decentered from the visual
axis of the observer's pupil.
According to another aspect of the present invention, an image display
apparatus is provided with a display unit and an eyepiece optical system.
The display unit displays a two-dimensional image. The eyepiece optical
system projects the two-dimensional image into an observer's pupil to
enable the observer to view an enlarged virtual image of the
two-dimensional image. In this image display apparatus, the display unit
is composed of a reflection-type screen or a reflection-type
two-dimensional display device, and the eyepiece optical system has at
least one reflecting surface and has an optical axis decentered from the
visual axis of the observer's pupil.
In the present specification, the term "an observer's pupil" means the
virtual pupil arranged in order to design an optical system and
corresponds to the exit pupil of the eyepiece optical system, and the
visual axis of the observer's pupil is fixed in a predetermined direction.
BRIEF DESCRIPTION OF THE DRAWINGS
This and other objects and features of this invention will become clear
from the following description, taken in conjunction with the preferred
embodiments with reference to the accompanied drawings in which:
FIG. 1 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a first
embodiment (Example 1) of the present invention;
FIG. 2 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the first embodiment (Example 1);
FIG. 3 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a second
embodiment (Example 2) of the present invention;
FIG. 4 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the second embodiment (Example 2);
FIG. 5 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a third
embodiment (Example 3) of the present invention;
FIG. 6 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the third embodiment (Example 3);
FIG. 7 is a spot diagram of the eyepiece optical system employed in Example
1;
FIG. 8 is a spot diagram of the projecting optical system employed in
Example 1;
FIG. 9 is a spot diagram of the eyepiece optical system employed in Example
2;
FIG. 10 is a spot diagram of the projecting optical system employed in
Example 2;
FIG. 11 is a spot diagram of the eyepiece optical system employed in
Example 3;
FIG. 12 is a spot diagram of the projecting optical system employed in
Example 3;
FIG. 13 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a fourth
embodiment (Example 4) of the present invention;
FIG. 14 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the fourth embodiment (Example 4);
FIG. 15 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a fifth
embodiment (Example 5) of the present invention;
FIG. 16 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the fifth embodiment (Example 5);
FIG. 17 is an optical arrangement diagram illustrating the eyepiece optical
system, together with the optical path therethrough, employed in a sixth
embodiment (Example 6) of the present invention;
FIG. 18 is an optical arrangement diagram illustrating the projecting
optical system, together with the optical path therethrough, employed in
the sixth embodiment (Example 6);
FIG. 19 is a spot diagram of the eyepiece optical system employed in
Example 4;
FIG. 20 is a spot diagram of the projecting optical system employed in
Example 4;
FIG. 21 is a spot diagram of the eyepiece optical system employed in
Example 5;
FIG. 22 is a spot diagram of the projecting optical system employed in
Example 5;
FIG. 23 is a spot diagram of the eyepiece optical system employed in
Example 6; and
FIG. 24 is a spot diagram of the projecting optical system employed in
Example 6.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
Hereinafter, image display apparatuses embodying the present invention will
be described with reference to the accompanying drawings. Note that, in
the drawings, X, Y, and Z indicate directions perpendicular to one
another, with the direction perpendicular to the pupil (E1 and E2) used as
the Z direction. Note also that, in the following descriptions, components
that play the same or corresponding roles in different embodiments will be
identified with the same reference symbols and overlapping descriptions
will be omitted.
FIGS. 1, 3, 5, 13, 15, and 17 are optical arrangement diagrams of the
eyepiece optical system (EL) employed in a first to a sixth embodiment,
respectively, of the present invention. In these diagrams, E1 represents
an observer's pupil, which corresponds to the exit pupil of the eyepiece
optical system (EL). FIGS. 2, 4, 6, 14, 16, and 18 are optical arrangement
diagrams of the projecting optical system (PL) employed in the first to
sixth embodiments, respectively. In these diagrams, E2 represents the
pupil of the projecting optical system (PL) (i.e. the entrance pupil
corresponding to the deflection plane for scanting). Moreover, in each
optical arrangement diagram, I represents the image plane. The image plane
(I) corresponds to the display surface of a display unit (for example, a
reflection-type screen or a reflection-type two-dimensional display
device) for displaying a two-dimensional image. Furthermore, a surface
marked with Si (i=1, 2, 3, . . . ) is the ith surface counted from the
pupil (E1 or E2) side in the optical system including the pupil (E1 or E2)
and the image plane (I), a surface Si marked with an asterisk (*) is an
aspherical surface, and a surface Si marked with # is an anamorphic
aspherical surface.
All of these embodiments are provided with a reflection-type screen, an
eyepiece optical system (EL), and a projecting optical system (PL). The
reflection-type screen serves as a display unit for displaying a
two-dimensional image. The eyepiece optical system (EL) projects the
two-dimensional image into an observer's pupil so as to enable the
observer to view an enlarged virtual image of the two-dimensional image.
The projecting optical system (PL) projects an image onto the
reflection-type screen. Moreover, in each embodiment, at least part of the
eyepiece optical system (EL) constitutes at least part of the projecting
optical system (PL), this part serving as a shared optical system (CL).
Specifically, in the first and sixth embodiments, part of the eyepiece
optical system (EL) is shared as part of the projecting optical system
(PL), this part being used as a shared optical system (CL). On the other
hand, in the second to fifth embodiments, the whole of the eyepiece and
projecting optical systems (EL and PL) are used as a shared optical system
(CL). Note that, in the first embodiment, the optical elements
constituting each of the optical systems (EL and PL) except those
constituting the shared optical system (CL) constitute an arrangement
composed of optical elements that are essential to form an optical path
through this optical system (EL or PL). Note also that, in the sixth
embodiment, the eyepiece optical system (EL) includes a reflection mirror
(RM) that is composed solely of an optical element that is essential to
form an optical path through this optical system (EL).
In the first, and third to sixth embodiments, the image plane (I) is
curved, and therefore a reflection-type screen can be used suitably as a
display unit. On the other hand, in a case where, as in the second
embodiment, the image plane (I) is flat, a reflection-type two-dimensional
display device can be used suitably as a display unit. In this way, it is
preferable that a display unit for displaying a two-dimensional image be
realized by the use of a reflection-type screen or a reflection-type
two-dimensional display device. The use of a reflection-type display unit
eliminates the need to arrange a light source and optical members behind
the display unit. This makes it possible to reduce the total length of the
entire image display apparatus and simultaneously achieve
higher-resolution image display than can be achieved in an image display
apparatus employing a transmission-type liquid crystal display.
Although, in all of these embodiments, it is possible to realize the
display unit by the use of either a reflection-type screen or a
reflection-type two-dimensional display device, in an image display
apparatus that employs a reflection-type two-dimensional display device as
its display unit, it is possible to use, as an illumination optical system
for illuminating the reflection-type two-dimensional display device, a
projecting optical system (PL). The pupil (E2) of the projecting optical
system (PL) is the entrance pupil that corresponds to the deflection plane
for scanning. In a case where the projecting optical system (PL) is used
as an illumination optical system, the position of the pupil (E2) is used
as the light source position.
In each embodiment, the optical axis (A1) of the eyepiece optical system
(EL) is decentered from the visual axis (A0) of an observer's pupil. This
arrangement facilitates securing a space in the image display apparatus
for disposing a projecting or illumination) optical system (PL). This
makes it possible to dispose a projecting (or illumination) optical system
(PL) on the same side as the pupil (E1) and thereby make the image display
apparatus compact.
In the fourth to sixth embodiments, the eyepiece optical system (EL)
includes one reflecting surface (RS). By providing at least one reflecting
surface (RS) in the eyepiece optical system (EL) in this way, it is
possible to make the optical path turn and converge at the same time.
Moreover, the decentering mentioned above helps prevent overlap of optical
paths, which imposes various restrictions on optical arrangement. Thus, it
is possible to make the entire optical systems compact. It is preferable
to use a reflecting surface that, like the reflecting surface (RS), is
based on back-surface reflection. This is because, by providing a
reflecting surface (RS) that is based on back-surface reflection in the
eyepiece optical system (EL), it is possible to control the reflection
mirror (RM) separately in terms of its reflecting-surface shape and in
terms of its refracting-surface shape, and thereby increase the
flexibility in aberration correction. This makes it possible to correct
aberrations properly with as few optical elements as possible and thereby
further reduce the size of the entire optical systems.
In an image display apparatus that has, like that of each embodiment, a
projecting optical system (PL) for projecting an image onto a
reflection-type screen or an illumination optical system for illuminating
a reflection-type two-dimensional display device, it is preferable that at
least part of the eyepiece optical system (EL) constitute at least part of
the projecting (or illumination) optical system (PL), this part serving as
a shared optical system (CL). This arrangement conveniently allows the
optical paths through the eyepiece and projecting (or illumination)
optical systems (EL and PL) to overlap with each other, and thus makes it
possible to secure a wide angle of view and to reduce the total length of
the optical systems. Moreover, by using a shared optical system (CL) as at
least part of the optical systems (EL and PL), it is possible to reduce
costs accordingly.
It is preferable to design, as in the first, and third to sixth
embodiments, the display unit to display a two-dimensional image on a
curved surface. By designing the display unit in that way, it is possible
to curve the image plane (I) in accordance with the curvature of field
occurring in the eyepiece and projecting optical systems (EL and PL). This
helps simplify the design of the optical systems and also achieve a wide
angle of view. Moreover, in a case where the eyepiece optical system (EL)
is composed of a refractive lens element, it is preferable that, as in the
first and third embodiments, the display unit be designed to display a
two-dimensional image concave to the pupil (E1). By designing the display
unit in that way, the curvature of field caused by a positively-powered
refractive lens element can be corrected by the display unit. This makes
it possible to simplify the design of the optical systems and achieve a
wide angle of view.
It is preferable that, as in the fourth to sixth embodiments, the
reflection mirror (RM) have a reflecting surface (RS) concave to the pupil
(E1). By designing the reflection mirror (RM) in that way, it is possible
to make the light beam traveling toward the pupil (E1) converge and
thereby achieve a wide angle of view. Moreover, it is preferable that the
reflection-type screen (or two-dimensional display device) have, as its
display surface, a curved surface convex to the reflecting surface (RS).
By designing the curved surface in that way, the curvature of field
occurring in the reflecting surface (RS) concave to the pupil (E1) can be
corrected by the reflection-type screen or reflection-type two-dimensional
display device. This helps simplify the design of the eyepiece optical
system (EL) and thereby make it compact and light-weight.
Moreover, in the first, and fourth to sixth embodiments, the shared optical
system (CL) is provided with at least one optical surface formed as a
rotationally-asymmetrical surface (i.e. an anamorphic aspherical surface).
This surface exhibits symmetry with respect to the plane (the first plane
of symmetry) including the optical axis (A1) of the shared optical system
(CL) and the visual axis (A0) of the observer's pupil and also with
respect to the plane (the second plane of symmetry) perpendicular to the
first plane of symmetry along the optical axis (A1) of the shared optical
system (CL). Note that, in each embodiment, the optical axis (A1) of the
shared optical system (CL) coincides with the optical axis of the eyepiece
optical system (EL). In the first embodiment, however, that part of the
projecting optical system (PL) which is not included in the shared optical
system. (CL) is translationally decentered from the optical axis (A1) of
the shared optical system (CL). Therefore, in FIG. 2, the optical axis of
this decentered part is indicated as A2.
As described above, it is preferable that the shared optical system (CL) be
provided with at least one optical surface formed as a
rotationally-asymmetrical surface, and that the rotationally-asymmetrical
surface exhibit symmetry with respect to the plane (the first plane of
symmetry) including the optical axis (A1) of the shared optical system
(CL) and the visual axis (A0) of the observer's pupil and also with
respect to the plane (the second plane of symmetry) perpendicular to the
first plane of symmetry along the optical axis (A1) of the shared optical
system (CL). This makes it possible to obtain symmetrical aberration
characteristics with respect to the first plane of symmetry, and thereby
achieve natural variation in the imaging performance from the center of
the observer's field of view toward both sides of the first plane of
symmetry. Moreover, it is also possible to obtain symmetrical aberration
characteristics with respect to the second plane of symmetry, i.e. between
the observer's pupil (E1) side and the projecting optical system (PL)'s
pupil (E2) side. This conveniently facilitates sharing part of these two
optical systems (EL and PL), i.e. forming a shared optical system (CL).
Moreover, the asymmetrical aberration caused by decentering the optical
axis (A1) from the visual axis (A0) can be easily corrected by means of
the rotationally-asymmetrical surface that exhibits the symmetry as
described above.
It is preferable that, in the projecting optical system (PL), a
two-dimensional image be projected by mirror scanning. This makes it
possible to combine the projecting optical system (PL) with a parallel
light source and a scanning mirror, and thus make the entire image display
apparatus compact. Moreover, it is preferable that the length of the
optical path from the scanning mirror to the reflection-type screen be
made longer than that from the pupil (E2) to the reflection-type screen,
and that the angle through which a light beam is swung by the scanning
mirror be made smaller than the angle of view of the eyepiece optical
system (EL). This makes it possible to secure an angle of view greater
than the angle through which a light ray is swung by the scanning mirror.
By reducing the swing angle of the scanning mirror, scanning can be
performed at high speed. This makes is possible to achieve a wider angle
of view and higher-resolution image display. Furthermore, it is preferable
that the beam diameter of a light beam to be scanned be made smaller than
the pupil diameter of the eyepiece optical system (EL). To obtain an
appropriate pupil diameter, it is advisable to adopt an arrangement in
which a light beam is made to diverge by the dispersive power of the
reflection-type screen. This helps reduce the diameter of the scanning
mirror and thereby make it possible to perform scanning at high speed,
achieving a wider angle of view and higher-resolution image display.
EXAMPLE
Hereinafter, practical optical arrangements (Examples 1 to 6) of the image
display apparatuses embodying the present invention will be presented with
reference to the construction data and the spot diagrams of their eyepiece
and projecting optical systems (EL and PL). Tables 1, 3, 5, 7, 9, and 11
list the construction data of the eyepiece optical system (EL) employed in
Examples 1 to 6, respectively, and Tables 2, 4, 6, 8, 10, and 12 list the
construction data of the projecting optical system (PL) employed in
Examples 1 to 6, respectively. FIGS. 7, 9, 11, 19, 21, and 23 are spot
diagrams of the eyepiece optical system (EL) employed in Examples 1 to 6,
respectively, and FIGS. 8, 10, 12, 20, 22, and 24 are spot diagrams of the
projecting optical system (PL) employed in Examples 1 to 6, respectively.
Examples 1 to 6 respectively correspond to the first to sixth embodiments
described above. FIGS. 1, 3, 5, 13, 15, 17, and FIGS. 2, 4, 6, 14, 16, 18
which respectively show the optical arrangement of the eyepiece and
projecting optical systems (EL and EP) employed in the first to sixth
embodiments, illustrate the optical arrangement of Examples 1 to 6,
respectively. Moreover, the spot diagrams show the imaging characteristics
of the eyepiece and projecting optical systems (EL and PL) employed in
Examples 1 to 6, with field positions given as angles of view (.degree.).
In the construction data of the eyepiece and projecting optical systems (EL
and PL) of each example, Si (i=1, 2, 3, . . . ) represents the ith surface
counted from the pupil (E1 and E2) side in the optical system including
the pupil (E1 and E2) and the image plane (I), ri (i=1, 2, 3, . . . )
represents the radius of curvature of the surface Si, di (i=1, 2, 3, . . .
) represents the ith axial distance counted from the pupil (E1 and E2)
side in the optical system including the pupil (E1 and E2) and the image
plane (I), and Ni (i=1, 2, 3, . . . ) and .nu.i (i=1, 2, 3, . . . )
respectively represent the refractive index (Nd) for the d line and the
Abbe number (.nu.d) of the ith optical element counted from the pupil (E1
and E2) side.
Unless otherwise indicated, for each set of rectangular coordinates, given
as X, Y, and Z, the position of the front-end surface as translationally
decentered is represented by the coordinates of its vertex (XDE, YDE, and
ZDE) (which respectively represent the position translationally decentered
in the X direction, the position translationally decentered in the Y
direction, and the position translationally decentered in the Z
direction), as determined when the direction perpendicular to the pupil
(E1 or E2) is used as the Z direction and the center of the pupil (E1 or
E2) is used as the origin (0, 0, 0). In a case where rotational
decentering is involved, the rotation angle (.degree.) about the X axis as
calculated using the vertex of the surface as the origin is given as ADE.
Also listed are the diameter of the pupil (E1) and the angle of view, the
diameter of the pupil (E2) and the projection angle (.degree.), and other
data. Note that, in the construction data of Examples in which the whole
of the eyepiece and projecting optical systems (EL and PL) are used as the
shared optical system (CL), overlapping data will be omitted.
A surface Si marked with an asterisk (*) is an aspherical surface, whose
surface shape is defined by Formula (AS) below (relative to the vertex). A
surface Si marked with # is an anamorphic aspherical surface, whose
surface shape is defined by Formula (AN) below (relative to the vertex).
Also listed are the aspherical surface data and the anamorphic aspherical
surface data.
Z=(c.multidot.h.sup.2)/[1+ {1-(1+K).multidot.c.sup.2.multidot.h.sup.2
}]+(A.multidot.h.sup.4 +B.multidot.h.sup.6 +C.multidot.h.sup.8
+D.multidot.h.sup.10) (AS)
Z=(CUX.multidot.X.sup.2 +CUY.multidot.Y.sup.2)/[1+
{1-(1+KX).multidot.CUX.sup.2.multidot.X.sup.2
-(1+KY).multidot.CUY.sup.2.multidot.Y.sup.2}]
+AR{(1-AP).multidot.X.sup.2 +(1+AP).multidot.Y.sup.2 }.sup.2
+BR{(1-BP).multidot.X.sup.2 +(1+BP).multidot.Y.sup.2 }.sup.3
+CR{(1-CP).multidot.X.sup.2 +(1+CP).multidot.Y.sup.2 }.sup.4
+DR{(1-DP).multidot.X.sup.2 +(1+DP).multidot.Y.sup.2 }.sup.5 (AN)
where
Z represents the displacement from the reference surface in the optical
axis direction;
h represents the height in a direction perpendicular to the optical axis;
c represents the paraxial curvature;
K, A, B, C, and D represent the aspherical coefficients;
KY, KX, RY, RX, AR, BR, CR, DR, AP, BP, CP, and DP represent the anamorphic
aspherical coefficients;
CUY=1/RY; and
CUX=1/RX.
TABLE 1
<<Construction Data of Eyepiece Optical System (EL) of Example 1>>
Pupil Diameter (mm) = .phi.8.0
Angle of View (.degree. ): 45(X Direction) .times. 50(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E1) r1 = .infin.
S2# (XDE,YDE,ZDE) = (0.0,-9.0,10.0)
r2 = 35.126
d2 = 5.0 N1 = 1.750 .nu.1 = 50.00
S3 r3 = 110.105
d3 = 0.01
S4# r4 = 54.187
d4 = 14.46 N2 = 1.750 .nu.2 = 50.00
S5# r5 = -50.311
d5 = 0.1
S6 r6 = 72.275
d6 = 1.0 N3 = 1.847 .nu.3 = 23.80
S7 r7 = 19.669
d7 = 20.295 N4 = 1.666 .nu.4 = 55.72
S8# r8 = -30.394
d8 = 9.142
S9(I) r9 = -36.091
[Anamorphic Aspherical Surface Data of Second Surface (S2)]
KY = -4.590, KX = -3.499, RX = 26.688
AR = 0.8827 .times. 10.sup.-7, BR = -0.2333 .times. 10.sup.-7, CR = 0.5703
.times.
10.sup.-10, DR = -0.3919 .times. 10.sup.-13
AP = -2.578, BP = 0.07136, CP = 0.01293 , DP = -0.05008
[Anamorphic Aspherical Surface Data of Fourth Surface (S4)]
KY = -28.658, KX = -139.600, RX = 128.182
AR = 0.3236 .times. 10.sup.-4, BR = -0.3124 .times. 10.sup.-7, CR = 0.1510
.times.
10.sup.-10, DR = 0.1994 .times. 10.sup.-14
AP = 0.003902, BP = 0.04664, CP = 0.03435, DP = 0.09920
[Anamorphic Aspherical Surface Data of Fifth Surface (S5)]
KY = -4.261 .times. 10.sup.7, KX = -4.261 .times. 10.sup.7, RX = 0.016897
AR = 0.1830 .times. 10.sup.-4, BR = -0.4299 .times. 10.sup.-7, CR = 0.5337
.times.
10.sup.-10, DR = -0.2492 .times. 10.sup.-13
AP = -0.1803, BP = 0.03497, CP = 0.05517, DP = 0.02056
[Anamorphic Aspherical Surface Data of Eighth Surface (S8)]
KY = -45.633, KX = -28.118, RX = -29.738
AR = -0.3973 .times. 10.sup.-4, BR = 0.6667 .times. 10.sup.-7, CR = 0.2597
.times.
10.sup.-9, DR = -0.3704 .times. 10.sup.-12
AP = 0.02176, BP = 0.2600, CP = 0.004092, DP = 0.1711
TABLE 2
<<Construction Data of Projecting Optical System (PL)
of Example 1>>
Pupil Diameter (mm) = .phi.2.0
Angle of View (.degree. ): 30(X Direction) .times. 36(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E2) r1 = .infin.
S2# (XDE,YDE,ZDE) = (0.0,11.995,20.0)
r2 = 60.161
d2 = 5.0 N1 = 1.640 .nu.1 = 58.12
S3 r3 = 51.886
d3 = 0.1
S4# r4 = 7.777
d4 = 5.0 N2 = 1.704 .nu.2 = 52.58
S5 r5 = 30.054
S6# (XDE,YDE,ZDE) = (0.0,13.0,33.0)
r6 = 54.187
d6 = 14.46 N3 = 1.750 .nu.3 = 50.00
S7# r7 = -50.311
d7 = 0.1
S8 r8 = 72.275
d8 = 1.0 N4 = 1.847 .nu.4 = 23.80
S9 r9 = 19.669
d9 = 20.295 N5 = 1.666 .nu.5 = 55.72
S10# r10 = -30.394
d10 = 9.142
S11(I) r11 = -36.091
[Anamorphic Aspherical Surface Data of Second Surface (S2)]
KY = -6.774, KX = -5.007, RX = 16.489
AR = 0.1439 .times. 10.sup.-4, BR = -0.8091 .times. 10.sup.-8, CR = -0.6594
.times.
10.sup.-11, DR = 0.6299 .times. 10.sup.-14
AP = 0.2091, BP = 0.2388, CP = 0.1225, DP = 0.1934
[Anamorphic Aspherical Surface Data of Fourth Surface (S4)]
KY = -4.590, KX = 0.1227, RX = 58.134
AR = 0.1389 .times. 10.sup.-4, BR = -0.1615 .times. 10.sup.-7, CR = 0.2534
.times.
10.sup.-10, DR = -0.1162 .times. 10.sup.-13
AP = -0.7779 , BP = -0.5058, CP = 0.007286, DP = 0.04087
[Anamorphic Aspherical Surface Data of Sixth Surface (S6)]
KY = -28.658, KX = -139.600, RX = 128.182
AR = 0.3236 .times. 10.sup.-4, BR = -0.3124 .times. 10.sup.-7, CR = 0.1510
.times.
10.sup.-10, DR = 0.1994 .times. 10.sup.-14
AP = 0.003902, BP = 0.04664, CP = 0.03435, DP = 0.09920
[Anamorphic Aspherical Surface Data of Seventh Surface (S7)]
KY = -4.261 .times. 10.sup.7, KX = -4.261 .times. 10.sup.7, RX = 0.016897
AR = 0.1830 .times. 10.sup.-4, BR = -0.4299 .times. 10.sup.-7, CR = 0.5337
.times.
10.sup.-10, DR = -0.2492 .times. 10.sup.-13
AP = -0.1803, BP = 0.03497, CP = 0.05517, DP = 0.02056
[Anamorphic Aspherical Surface Data of Tenth Surface (S10)]
KY = -45.633, KX = -28.118, RX = -29.738
AR = -0.3973 .times. 10.sup.-4, BR = 0.6667 .times. 10.sup.-7, CR = 0.259
.times.
10.sup.-9, DR = -0.3704 .times. 10.sup.-12
AP = 0.02176, BP = 0.2600, CP = 0.004092, DP = 0.1711
TABLE 3
<<Construction Data of Eyepiece Optical System (EL)
of Example 2>>
Pupil Diameter (mm) = .phi.10.0
Angle of View (.degree. ): 40(X Direction) .times. 50(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(El) r1 = .infin.
S2* (XDE,YDE,ZDE) = (0.0,-9.0,10.0)
r2 = 30.037
d2 = 5.0 N1 = 1.750 .nu.1 = 50.00
S3 r3 = 128.107
d3 = 0.5
S4* r4 = 13691.239
d4 = 3.846 N2 = 1.822 .nu.2 = 27.14
S5* r5 = -28.271
d5 = 5.170
S6 r6 = 186.957
d6 = 1.0 N3 = 1.847 .nu.3 = 23.80
S7 r7 = 24.143
d7 = 20.285 N4 = 1.750 .nu.4 = 50.00
S8* r8 = -25.509
d8 = 14.199
S9(I) r9 = .infin.
[Aspherical Surface Data of Second Surface (S2)]
K = -0.4557
A = -0.1789 .times. 10.sup.-5
B = -0.5019 .times. 10.sup.-7
C = 0.6971 .times. 10.sup.-10
D = -0.2216 .times. 10.sup.-13
[Aspherical Surface Data of Fourth Surface (S4)]
K = 1.611 .times. 10.sup.5
A = 0.3867 .times. 10.sup.-4
B = -0.3707 .times. 10.sup.-7
C = 0.2498 .times. 10.sup.-10
D = -0.2251 .times. 10.sup.-13
[Aspherical Surface Data of Fifth Surface (S5)]
K = -4.261 .times. 10.sup.7
A = 0.4583 .times. 10.sup.-4
B = -0.8942 .times. 10.sup.-7
C = 0.7670 .times. 10.sup.-10
D = -0.3552 .times. 10.sup.-13
[Aspherical Surface Data of Eighth Surface (S8)]
K = -9.259
A = -0.1544 .times. 10.sup.-4
B = 0.2483 .times. 10.sup.-7
C = -0.6585 .times. 10.sup.-11
D = 0.1234 .times. 10.sup.-13
TABLE 4
<<Construction Data of Projecting Optical System (PL) of Example 2>>
Pupil Diameter (mm) = .phi.2.0
Projection Angle (.degree. ): 40(X Direction) .times. 50(Y
Direction)
S2: YDE = 13.0
TABLE 5
<<Construction Data of Eyepiece Optical System (EL) of Example 3>>
Pupil Diameter (mm) = .phi.10.0
Angle of View (.degree. ): 20(X Direction) .times. 40(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(El) r1 = .infin.
S2* (XDE,YDE,ZDE) = (0.0,-8.0,15.0)
r2 = 21.975
d2 = 19.397 N1 = 1.535 .nu.1 = 65.81
S3* r3 = 31.854
d3 = 0.1
S4 r4 = 27.386
d4 = 1.0 N2 = 1.847 .nu.2 = 23.80
S5 r5 = 14.879
d5 = 16.803 N3 = 1.620 .nu.3 = 60.30
S6* r6 = -61.994
d6 = 7.701
S7(I) r7 = -31.451
[Aspherical Surface Data of Second Surface (S2)]
K = -0.5817
A = -0.7293 .times. 10.sup.-6
B = -0.1681 .times. 10.sup.-7
C = 0.2310 .times. 10.sup.-10
D = -0.8658 .times. 10.sup.-14
[Aspherical Surface Data of Third Surface (S3)]
K = -1.985 .times. 10.sup.7
A = 0.6040 .times. 10.sup.-5
B = -0.5066 .times. 10.sup.-7
C = 0.1047 .times. 10.sup.-9
D = -0.6469 .times. 10.sup.-13
[Aspherical Surface Data of Sixth Surface (S6)]
K = -0.08732
A = 0.18511 .times. 10.sup.-4
B = 0.7834 .times. 10.sup.-7
C = -0.4007 .times. 10.sup.-9
D = 0.1891 .times. 10.sup.-12
TABLE 6
<<Construction Data of Projecting Optical System (PL) of Example 3>>
Pupil Diameter (mm) = .phi.2.0
Projection Angle (.degree. ): 20(X Direction) .times. 40(Y
Direction)
S2: YDE = 12.0
TABLE 7
<<Construction Data of Eyepiece Optical System (EL) of Example 4>>
Pupil Diameter (mm) = .phi.10.0
Angle of View (.degree. ): 60(X Direction) .times. 40(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E1) r1 = .infin.
S2# (XDE,YDE,ZDE) = (0.0,-35.0,23.457)
r2 = -3.006 .times. 10.sup.6
d2 = 16.014 N1 = 1.754 .nu.1 = 47.35
S3# r3 = -226.647
d3 = 33.481
S4# r4 = -109.114
d4 = 2.048 N2 = 1.545 .nu.2 = 47.14
S5# Reflecting Surface (RS)
r5 = -117.460
d5 = -2.048 N3 = 1.545 .nu.3 = 47.14
S6# r6 = -109.114
d6 = -33.481
S7# r7 = -226.647
d7 = -16.014 N4 = 1.754 .nu.4 = 47.35
S8# r8 = -3.006 .times. 10.sup.6
d8 = -3.457
S9(I) r9 = -91.062
[Anamorphic Aspherical Surface Data of Second and Eighth Surfaces
(S2 and S8)]
KY = 3.450 .times. 10.sup.9, KX = 8.917, RX = -148.216
AR = -0.2511 .times. 10.sup.-7, BR = -0.2613 .times. 10.sup.-12, CR =
-0.6402 .times.
10.sup.-14, DR = 0.4553 .times. 10.sup.-23
AP = 5.289, BP = -11.999, CP = 1.056, DP = -17.301
[Anamorphic Aspherical Surface Data of Third and Seventh Surfaces
(S3 and S7)]
KY = -1.000, KX = 5.284, RX = -146.362
AR = -0.3593 .times. 10.sup.-6, BR = -0.2107 .times. 10.sup.-11, CR =
-0.2856 .times.
10.sup.-13, DR = -0.9507 .times. 10.sup.-18
AP = -0.5028, BP = -3.485, CP = -1.202, DP = -0.1230
[Anamorphic Aspherical Surface Data of Fourth and Sixth Surfaces
(S4 and S6)]
KY = -0.09982, KX = 5.111, RX = -121.773
AR = -0.7329 .times. 10.sup.-7, BR = 0.7110 .times. 10.sup.-13, CR =
-0.4442 .times.
10.sup.-14, DR = 0.6537 .times. 10.sup.-23
AP = -0.8770, BP = -7.185, CP = -1.022, DP = 5.503
[Anamorphic Aspherical Surface Data of Fifth Surface (S5)]
KY = 0.2038, KX = 1.830, RX = -117.829
AR = -0.7954 .times. 10.sup.-7, BR = 0.4164 .times. 10.sup.-11, CR =
-0.1045 .times.
10.sup.-17, DR = -0.1190 .times. 10.sup.-18
AP = 0.4525, BP = 0.3462 , CP = 5.865, DP = 0.97944
TABLE 8
<<Construction Data of Projecting Optical System (PL) of Example 4>>
Pupil Diameter (mm) = .phi.4.0
Projection Angle (.degree. ): 60(X Direction) .times. 40(Y
Direction)
S2: YDE = 35.0
TABLE 9
<<Construction Data of Eyepiece Optical System (EL) of Example 5>>
Pupil Diameter (mm) = .phi.8.0
Angle of View (.degree. ): 50(X Direction) .times. 40(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E1) r1 = .infin.
S2# (XDE,YDF,ZDE) = (0.0,-35.0,21.800)
r2 = -3.091 .times. 10.sup.6
d2 = 14.288 N1 = 1.650 .nu.1 = 57.10
S3# r3 = -273.738
d3 = 21.005
S4# r4 = -109.837
d4 = 4.845 N2 = 1.487 .nu.2 = 70.40
S5# r5 = -107.020
d5 = 10.104
S6# r6 = -106.466
d6 = 2.958 N3 = 1.495 .nu.3 = 65.43
S7# Reflecting Surface (RS)
r7 = -113.467
d7 = -2.958 N4 = 1.495 .nu.4 = 65.43
S8# r8 = -106.466
d8 = -10.105
S9# r9 = -107.020
d9 = -4.845 N5 = 1.487 .nu.5 = 70.40
S10# r10 = -109.837
d10 = -21.005
S11# r11 = -273.738
d11 = -14.288 N6 = 1.650 .nu.6 = 57.10
S12# r12 = 3.091 .times. 10.sup.6
d12 = 14.288
S13(I) r13 = -150.630
[Anamorphic Aspherical Surface Data of Second and Twelfth Surfaces
(S2 and S12)]
KY = 3.585 .times. 10.sup.9, KX = 7.57, RX = -92.3067
AR = -0.2830 .times. 10.sup.-7, BR = -0.2987 .times. 10.sup.-12, CR =
-0.5184 .times.
10.sup.-14, DR = 0.5823 .times. 10.sup.-23
AP = 5.993, BP = -12.485, CP = 1.004, DP = -18.241
[Anamorphic Aspherical Surface Data of Third and Eleventh Surfaces
(S3 and S11)]
KY = 3.640, KX = 6.365, RX = -82.752
AR = -0.3196 .times. 10.sup.-6, BR = -0.2816 .times. 10.sup.-11, CR =
-0.1061 .times.
10.sup.-13, DR = -0.2105 .times. 10.sup.-17
AP = -0.4918, BP = -3.6371, CP = -1.8500, DP = -0.006019
[Anamorphic Aspherical Surface Data of Fourth and Tenth Surfaces
(S4 and S10)]
KY = 0.02502, KX = 3.919, RX = -98.919
AR = -0.1628 .times. 10.sup.-6, BR = 0.1094 .times. 10.sup.-12, CR =
-0.1423 .times.
10.sup.-14, DR = 0.2352 .times. 10.sup.-22
AP = -0.3338, BP = -7.894, CP = -2.103, DP = 7.261
[Anamorphic Aspherical Surface Data of Fifth and Ninth Surfaces
(S5 and S9)]
KY = -0.03465, KX = 4.247, RX = -105.948
AR = -0.1090 .times. 10.sup.-6, BR = 0.9879 .times. 10.sup.-13, CR =
-0.3334 .times.
10.sup.-15, DR = 0.2543 .times. 10.sup.-22
AP = -0.4688, BP = -7.663, CP = -1.853, DP = 7.392
[Anamorphic Aspherical Surface Data of Sixth and Eighth Surfaces
(S6 and S8)]
KY = 0.01702, KX = 4.216, RX = -99.431
AR = -0.1677 .times. 10.sup.-6, BR = 0.1023 .times. 10.sup.-12, CR =
-0.1104 .times.
10.sup.-14, DR = 0.2162 .times. 10.sup.-22
AP = -0.3357 , BP = -7.746, CP = -2.050, DP = 7.172
[Anamorphic Aspherical Surface Data of Seventh Surface (S7)]
KY = 0.1460, KX = 1.929, RX = -113.015
AR = -0.8399 .times. 10.sup.31 7, BR = 0.5621 .times. 10.sup.-11, CR =
-0.1195 .times.
10.sup.-17, DR = -0.1228 .times. 10.sup.-18
AP = 0.5093, BP = 0.4773, CP = 6.116, DP = 0.1341
TABLE 10
<<Construction Data of Projecting Optical System (PL)
of Example 5>>
Pupil Diameter (mm) = .phi.8.0
Projection Angle (.degree. ): 50(X Direction) .times. 40(Y
Direction)
S2: YDE = 35.0
TABLE 11
<<Construction Data of Eyepiece Optical System (EL) of Example>>
Pupil Diameter (mm) = .phi.10.0
Angle of View (.degree. ): 60(X Direction) .times. 40(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E1) r1 = .infin.
S2# (XDE,YDE,ZDE,ADE) = (0.0,-31.017,27.757,5.807)
r2 = 1.554 .times. 10.sup.6
d2 = 13.000 N1 = 1.487 .nu.1 = 70.40
S3# r3 = -311.948
d3 = 29.734
S4# r4 = -115.312
d4 = 4.509 N2 = 1.569 .nu.2 = 42.30
S5# Reflecting Surface (RS)
r5 = -122.281
d5 = -4.509 N3 = 1.569 .nu.3 = 42.30
S6# r6 = -115.312
d6 = -29.734
S7# r7 = -311.948
d7 = -13.000 N4 = 1.487 .nu.4 = 70.40
S8# r8 = 1.554 .times. 10.sup.6
S9(I) (XDE,YDE,ZDE,ADE) = (0.0,-35.0,20.365,7.583)
r9 = -109.211
[Anamorphic Aspherical Surface Data of Second and Eighth Surfaces
(S2 and 58)]
KY = 1.123 .times. 10.sup.9, KX = -2.334, RX = -322.8206
AR = -0.2558 .times. 10.sup.-7, BR = -0.2959 .times. 10.sup.-12, CR =
-0.4342 .times.
10.sup.-14, DR = 0.8358 .times. 10.sup.-23
AP = 5.621, BP = -12.283, CP = 0.9380, DP = -18.734
[Anamorphic Aspherical Surface Data of Third and Seventh Surfaces
(S3 and S7)]
KY = 12.517, KX = 0.9425, RX = -103.358
AR = -0.3993 .times. 10.sup.-6, BR = -0.4379 .times. 10.sup.-11, CR =
-0.6744 .times.
10.sup.-14, DR = -0.2664 .times. 10.sup.-17
AP = -0.4249, BP = -3.985, CP = -1.782, DP = 0.05751
[Anamorphic Aspherical Surface Data of Fourth and Sixth Surfaces
(S4 and S6)]
KY = -0.009896, KX = 6.076, RX = -131.251
AR = -0.1693 .times. 10.sup.-6, BR = 0.6337 .times. 10.sup.-13, CR =
-0.6797 .times.
10.sup.-16, DR = 0.5734 .times. 10.sup.-23
AP = -0.3009, BP = -6.780, CP = -1.595, DP = 5.333
[Anamorphic Aspherical Surface Data of Fifth Surface (S5)]
KY = -0.1621, KX = 2.433, RX = -144.042
AR = -0.7844 .times. 10.sup.-7, BR = 0.6222 .times. 10.sup.-11, CR =
-0.1370 .times.
10.sup.-17, DR = -0.8430 .times. 10.sup.-19
AP = 0.4076, BP = 0.3585, CP = 6.393, DP = 0.01144
TABLE 12
<<Construction Data of Projecting Optical System (PL)
of Example 6>>
Pupil Diameter (mm) = .phi.4.0
Projection Angle (.degree. ): 34(X Direction) .times. 24(Y Direction)
Radius of Axial Refractive Abbe
Surface Curvature Distance Index Number
S1(E2) r1 = .infin.
S2# (XDE,YDE,ZDE,ADE) = (0.0,-1.567,10.456,-2.091)
r2 = 109.078
d2 = 6.933 N1 = 1.719 .nu.1 = 51.83
S3# r3 = -40.708
S4 (XDE,YDE,ZDE,ADE) = (0.0,-2.401,19.694,1.385)
r4 = 73.420
d4 = 3.404 N2 = 1.654 .nu.2 = 32.37
S5 r5 = 26.498
S6# (XDE,YDE,ZDE,ADE) = (0.0,-8.750,80.0,13.0)
r6 = 311.948
d6 = 13.000 N3 = 1.487 .nu.3 = 70.40
S7# r7 = 1.554 .times. 10.sup.6
S8(I) (XDE,YDE,ZDE,ADE) = (0.0,3.985,7.391,1.780)
.sup.. . . {Decentering relative to Vertex of Seventh Surface (S7)}
r8 = 109.211
[Anamorphic Aspherical Surface Data of Second Surface (S2)]
KY = 1.882, KX = 2.050, RX = 54.596
AR = -0.2470 .times. 10.sup.-6, BR = -0.7414 .times. 10.sup.-8, CR =
-0.2540 .times.
10.sup.-10, DR = 0.8772 .times. 10.sup.-12
AP = -0.05608, BP = 1.119, CP = 2.117, DP = -1.297
[Anamorphic Aspherical Surface Data of Third Surface (S3)]
KY = 4.987, KX = -0.9957, RX = -67.301
AR = 0.4596 .times. 10.sup.-7, BR = -0.1552 .times. 10.sup.-9, CR = 0.6478
.times.
10.sup.-13, DR = 0.3089 .times. 10.sup.-12
AP = 5.723, BP = 7.018, CP = -8.074, DP = 0.4965
[Anamorphic Aspherical Surface Data of Sixth Surface (S6)]
KY = 12.517, KX = 0.9425, RX = 103.357
AR = 0.3993 .times. 10.sup.6, BR = 0.4379 .times. 10.sup.-11, CR = 0.6744
.times.
10.sup.-14, DR = 0.2664 .times. 10.sup.-17
AP = -0.4249, BP = -3.985, CP = -1.782, DP = 0.05751
[Anamorphic Aspherical Surface Data of Seventh Surface (S7)]
KY = 1.123 .times. 10.sup.9, KX = -2.334, RX = -322.8206
AR = -0.2558 .times. 10.sup.-7, BR = -0.2959 .times. 10.sup.-12, CR =
-0.4342 .times.
10.sup.-14, DR = 0.8358 .times. 10.sup.-23
AP = 5.621, BP = -12.283, CP = 0.9380, DP = -18.734
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